Given:
Arithmetic sequence -5, 13, 31, 49..........
We are to find the explicit formula of the sequence above. An explicit formula provides a binding formula for finding nth term.
To find the formula, we need to know the first term and the common difference.
The common difference is the difference between each successive terms of the sequence.
In the given sequence, the common difference is 18;
13-(-5) = 18
31 - 13 = 18
49 - 31 = 18
n calculation of the nth term
1 -5 -5 + 18(0) = -5
2 13 -5 + 18(1) = 13
3 31 -5 + 18(2) = 31
4 49 -5 + 18(3) = 49
Since the common difference is 18, we can now derive the formula;
b(n) = -5 + 18(n-1)
n is the position of the term
Any number in the sequence can be derived using the explicit formula
-5 + 18(n-1)
Answer:
x = 107
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360
105 + 148 +x =360
Combine like terms
253 +x = 360
Subtract 253 from each side
253-253+x = 360-253
x = 107
Answer:
62
Step-by-step explanation:
Substitute x by 3 and y by 2
3*3*3*2+8=62
(0, 4)
(-1, -3)
(2, -3)
For a 90 degrees clockwise rotation, the rule is (y, -x)
Answer:
Her daughters age: 1/2x
Step-by-step explanation:
Let's say Rani's present age is x. Her age is twice the age of her daughter.
So if Rani's age is 20, her daughters age would be 10, because Rani is twice the age of 10; so 10 times 2 would be 20.
1/2(20)=daughter's age
so if you substitute x into 20 because we don't actually know Rani's age, it would be 1/2(x)=daughter's age.
hope this helped :-) <3
